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    Dynamic Reliability Evaluation of Nonrepairable Multistate Weighted k-Out-of-n System With Dependent Components Based on Copula

    Source: ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part B: Mechanical Engineering:;2018:;volume( 004 ):;issue:004::page 41001
    Author:
    Zhuang, Xinchen
    ,
    Yu, Tianxiang
    ,
    Shen, Linjie
    ,
    Guo, Bozhi
    DOI: 10.1115/1.4039243
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: As a common type system, multistate weighted k-out-of-n system is of great importance in reliability engineering. The components are usually treated as independent from each other. It is usually not that case in real life and the components are dependent. On the other hand, the performance of the components degrades over time, leading to the change of the components' weight at the same time. As a result, the present paper provides a method to evaluate the dynamic reliability of multistate weighted k-out-of-n: G system with s-dependent components. The degradation of the components follows a Markov process and the components are nonrepairable. Copula function is used to model the s-dependence of the components. The LZ-transform for a discrete-state continuous-time Markov process is combined, and the explicit expression for the survival function and the mean time to failure (MTTF) of the system is obtained. A small electricity generating system is studied based on our method in the illustration, and detailed comparison result is made for dependent case and independent case. Dynamic reliability with varied levels of electricity generation conforming to the actual situation for this generating system is also calculated.
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      Dynamic Reliability Evaluation of Nonrepairable Multistate Weighted k-Out-of-n System With Dependent Components Based on Copula

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    contributor authorZhuang, Xinchen
    contributor authorYu, Tianxiang
    contributor authorShen, Linjie
    contributor authorGuo, Bozhi
    date accessioned2019-02-28T11:11:08Z
    date available2019-02-28T11:11:08Z
    date copyright4/18/2018 12:00:00 AM
    date issued2018
    identifier issn2332-9017
    identifier otherrisk_004_04_041001.pdf
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4253578
    description abstractAs a common type system, multistate weighted k-out-of-n system is of great importance in reliability engineering. The components are usually treated as independent from each other. It is usually not that case in real life and the components are dependent. On the other hand, the performance of the components degrades over time, leading to the change of the components' weight at the same time. As a result, the present paper provides a method to evaluate the dynamic reliability of multistate weighted k-out-of-n: G system with s-dependent components. The degradation of the components follows a Markov process and the components are nonrepairable. Copula function is used to model the s-dependence of the components. The LZ-transform for a discrete-state continuous-time Markov process is combined, and the explicit expression for the survival function and the mean time to failure (MTTF) of the system is obtained. A small electricity generating system is studied based on our method in the illustration, and detailed comparison result is made for dependent case and independent case. Dynamic reliability with varied levels of electricity generation conforming to the actual situation for this generating system is also calculated.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleDynamic Reliability Evaluation of Nonrepairable Multistate Weighted k-Out-of-n System With Dependent Components Based on Copula
    typeJournal Paper
    journal volume4
    journal issue4
    journal titleASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part B: Mechanical Engineering
    identifier doi10.1115/1.4039243
    journal fristpage41001
    journal lastpage041001-7
    treeASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part B: Mechanical Engineering:;2018:;volume( 004 ):;issue:004
    contenttypeFulltext
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